A book seller purchased 117 books out of which 45 books of mathematics and 72 books of physics.Each book has same size .Mathematics and Physics books are to be packed in bundles and each bundle must contain same no. of books.Find the least number of bundles which can be made for these 117 books.

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Well, let's do some math here! We know that the book seller purchased 45 math books and 72 physics books, so in total, we have 45 + 72 = 117 books.

To find the least number of bundles that can be made, we need to find the greatest common divisor (GCD) of the numbers 45 and 72. It's like finding the smallest common factor for both numbers.

Let me put on my math clown hat...

🎩🤡

Now, let's calculate the GCD using some juggling tricks!

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GCD(45, 72) = GCD(72, 45) since order doesn't matter

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Let's keep juggling...

GCD(45, 72) = GCD(45, 72 - 45) because we can subtract multiples of 45 from 72

GCD(45, 72) = GCD(45, 27)

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Keep juggling...

GCD(45, 27) = GCD(27, 45 - 27)

GCD(45, 27) = GCD(27, 18)

🤹‍♂️

We're almost there...

GCD(27, 18) = GCD(18, 27 - 18)

GCD(27, 18) = GCD(18, 9)

🤹‍♂️

Final juggling act...

GCD(18, 9) = GCD(9,18 - 9)

GCD(18, 9) = GCD(9, 9)

The final result is 9!

So, the least number of bundles that can be made is 9.

Now you can pack those books, but careful not to pack any clowns by mistake! 🤡📚

To find the least number of bundles that can be made, we need to find the greatest common divisor (GCD) of the numbers of books in each category.

In this case, the GCD of 45 (mathematics books) and 72 (physics books) will give us the number of books that can be packed in each bundle evenly.

To find the GCD, we can use the Euclidean algorithm. Here's how it works:

Step 1: Divide the larger number (72) by the smaller number (45) to get the quotient and remainder.
72 ÷ 45 = 1 remainder 27

Step 2: Now, divide the smaller number (45) by the remainder (27) to get the new quotient and remainder.
45 ÷ 27 = 1 remainder 18

Step 3: Repeat step 2 with the new values of the smaller number (27) and the remainder (18).
27 ÷ 18 = 1 remainder 9

Step 4: Repeat step 2 with the new values of the smaller number (18) and the remainder (9).
18 ÷ 9 = 2 remainder 0

Step 5: The remainder is 0, which means we have found the GCD. The GCD of 45 and 72 is 9.

So, the least number of bundles that can be made for these 117 books is 9. Each bundle will contain 9 books.

ya ya you are right!!!!!!!!!!!!

I assume you mean each bundle contains only math or physics books.

GCD(45,72) = 9
So, each bundle has 9 books, making

5 bundles of math
8 bundles of physics